Uploaded June 2026 | Updated September 2026, 1 day ago
Modeling and Simulation of Inverted Pendulum on Cart Using Lagrange's Equations in MATLAB/Simulink & Simscape with PID Control
How do engineers balance one of the most unstable mechanical systems?
This project demonstrates the complete modeling, simulation, and control of an inverted pendulum mounted on a moving cart using Lagrange's Equations and a PID controller.
The mathematical model is derived from first principles using classical mechanics, then implemented in MATLAB, Simulink, and Simscape to create a realistic physics-based simulation environment.
The PID controller continuously adjusts the cart motion to keep the pendulum balanced in its unstable upright position, demonstrating one of the most fundamental problems in modern control engineering.
⚙️ Project Highlights:
✅ Dynamic modeling using Lagrange's Equations
✅ Derivation of nonlinear equations of motion
✅ MATLAB implementation of system dynamics
✅ Simulink-based control system design
✅ Simscape physical modeling and visualization
✅ PID controller design and tuning
✅ Pendulum angle stabilization
✅ Cart position regulation
✅ Automatic performance analysis plots
✅ Realistic physics-based simulation environment
From instability to balance, this simulation demonstrates how modern control algorithms stabilize systems used in robotics, aerospace, and autonomous technologies.
📊 Perfect for:
• Control Systems students
• Robotics & Automation engineers
• MATLAB learners
• Mechatronics researchers
• Engineering final year projects
💡 A system that becomes unstable in seconds… can be stabilized with the right control strategy.
🔥 Save this reel if you enjoy robotics and control system simulations!
👇 Comment “Inverted Pendulum” if you want the project files, cad model and simscape model.
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#MATLAB #InvertedPendulum #ControlSystems #LQRControl #MPCControl #RoboticsEngineering #Automation #EngineeringSimulation #EngineeringStudent #Mechatronics #ControlEngineering #EngineeringReels #TechReels #STEM #MechanicalEngineering
Modeling and Simulation of Inverted Pendulum on Cart Using Lagrange's Equations in MATLAB/Simulink & Simscape with PID Control
How do engineers balance one of the most unstable mechanical systems?
This project demonstrates the complete modeling, simulation, and control of an inverted pendulum mounted on a moving cart using Lagrange's Equations and a PID controller.
The mathematical model is derived from first principles using classical mechanics, then implemented in MATLAB, Simulink, and Simscape to create a realistic physics-based simulation environment.
The PID controller continuously adjusts the cart motion to keep the pendulum balanced in its unstable upright position, demonstrating one of the most fundamental problems in modern control engineering.
⚙️ Project Highlights:
✅ Dynamic modeling using Lagrange's Equations
✅ Derivation of nonlinear equations of motion
✅ MATLAB implementation of system dynamics
✅ Simulink-based control system design
✅ Simscape physical modeling and visualization
✅ PID controller design and tuning
✅ Pendulum angle stabilization
✅ Cart position regulation
✅ Automatic performance analysis plots
✅ Realistic physics-based simulation environment
From instability to balance, this simulation demonstrates how modern control algorithms stabilize systems used in robotics, aerospace, and autonomous technologies.
📊 Perfect for:
• Control Systems students
• Robotics & Automation engineers
• MATLAB learners
• Mechatronics researchers
• Engineering final year projects
💡 A system that becomes unstable in seconds… can be stabilized with the right control strategy.
🔥 Save this reel if you enjoy robotics and control system simulations!
👇 Comment “Inverted Pendulum” if you want the project files, cad model and simscape model.
inverted pendulum on a cart equations of motion,inverted pendulum on cart lagrangian,inverted pendulum on cart,inverted pendulum on a cart state space,inverted pendulum using lqr controller,inverted pendulum on a cart,cart inverted pendulum,inverted pendulum cart,matlab simulation for inverted pendulum,inverted pendulum in india,jitendra singh inverted pendulum,inverted pendulum by jitendra singh,inverted pendulum applications,3d simulation of inverted pendulum
#MATLAB #InvertedPendulum #ControlSystems #LQRControl #MPCControl #RoboticsEngineering #Automation #EngineeringSimulation #EngineeringStudent #Mechatronics #ControlEngineering #EngineeringReels #TechReels #STEM #MechanicalEngineering
